Math 582e: Galois Cohomology - Lectures

PART 1: Group Cohomology

M 1/4   G-Modules: definition & examples 582e-2010-01-04.pdf
W 1/6   Derived Functors (basic category theory); definition of cohomology of groups 582e-2010-01-06.pdf
F 1/8   Computing cohomology (cocycles mod coboundaries):  582e-2010-01-08.pdf

M 1/11  Morphisms of Pairs, I   582e-2010-01-11.pdf
W 1/13  Morphisms of Pairs, II  582e-2010-01-13.pdf (scan is an extended version of previous scan!)
F 1/15  Students meet to discuss homework, since I'll be in San Francisco.

M 1/18  NO CLASS -- MLK Day
W 1/20  The Inf-Res Sequence; Intro to cohomology Sets  582e-2010-01-20.pdf
F 1/22  Exact sequence of Cohomology Sets 582e-2010-01-22.pdf

M 1/25  Tate Cohomology Groups       582e-2010-01-25.pdf
W 1/27  Complete resolution; Cores   582e-2010-01-27.pdf
F 1/29  Cup product; cyclic groups     582e-2010-01-29

M 2/1   No class -- I will be in Washington, DC
W 2/3   No class -- I will be in Washington, DC
PART 2 BEGINS: Galois Cohomology
F 2/5   Galois Cohomology: Examples and ideas   582e-2010-02-05


M 2/8   Kummer theory:    582e-2010-02-08
W 2/10  Brauer Groups:    582e-2010-02-10
F 2/12  Principal Homogenous Spaces for Abelian Varieties:  582e-2010-02-12

M 2/15  NO CLASS -- Presidents Day
W 2/17  Galois Cohomology of Abelian Varieties
F 2/19  Tate local duality, part 1

M 2/22  Tate local duality, part 2
W 2/24  Global duality, part 1
F 2/26  Global duality, part 2

M 3/1   Etale Cohomology, part 1
W 3/3   Etale Cohomology, part 2
F 3/5   Etale Cohomology, part 3

M 3/8   TBA
W 3/10  TBA
F 3/12  TBA